Invited Talk

Theory and numerical analysis of systems of KdV-equations

J. Bona, H. Chen, O. Karakashian and Y. Wang

Abstract
Systems of nonlinear dispersive wave equations arise in various physical contexts. Some of these have been shown to provide reasonably good models of real phenomena. This lecture will review recent work in this area focused upon a paradigm problem. We will see that systems can throw up a larger variety of phenomena than do the associated single equations.